%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:30:42 PM UTC 2026
% Result : Unsatisfiable 3.17s 6.11s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 68 ( 60 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 31 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f5,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f5]) ).
tcf(c_54,negated_conjecture,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_56,c_57]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_75,c_57]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_75,c_57]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_141,c_75]) ).
tcf(c_160,plain,
( ( inverse(inverse(a2)) != a2 )
| ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_54,c_159]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X1) = X2,
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(superposition,[status(thm)],[c_55,c_55]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X0) = X1,
inference(light_normalisation,[status(thm)],[c_231,c_75]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(inverse(X0),X1)),X0) = X1,
inference(light_normalisation,[status(thm)],[c_225,c_57]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_243,c_75]) ).
tcf(c_288,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_243,c_141]) ).
tcf(c_289,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_160,c_288]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_142,c_288]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_288,c_75]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_290,c_243]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X0,divide(X1,X1)),X2)) = X2,
inference(superposition,[status(thm)],[c_371,c_55]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] : divide(inverse(inverse(X0)),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_371,c_245]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(light_normalisation,[status(thm)],[c_421,c_288]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_411,c_371]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_75,c_425]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_243,c_425]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_425,c_55]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_425,c_245]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[status(thm)],[c_287,c_559]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_559,c_75]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_601,c_351]) ).
tcf(c_607,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(b1),b1) != divide(a1,a1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_289,c_599]) ).
tcf(c_612,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( divide(a1,a1) != divide(b1,b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_607,c_599]) ).
tcf(c_613,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_612,c_424]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_243,c_603]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_425,c_603]) ).
tcf(c_640,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_613,c_635]) ).
tcf(c_655,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(demodulation,[status(thm)],[c_640,c_635]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_351,c_243]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_635,c_555]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_637,c_555]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_288,c_599]) ).
tcf(c_791,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_735,c_674]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_736,c_599]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_736,c_351]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(X0,X1),multiply(divide(X2,X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_241,c_635,c_807]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(divide(X0,X1),X2),
inference(superposition,[status(thm)],[c_848,c_243]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_791,c_751]) ).
tcf(c_1046,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),X2) = multiply(X1,divide(X0,X2)),
inference(superposition,[status(thm)],[c_563,c_751]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i,X2: $i] : divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
inference(light_normalisation,[status(thm)],[c_1046,c_751]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(X0,X1),X2) = multiply(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[c_879,c_809]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(X2,divide(X0,X1)),
inference(demodulation,[status(thm)],[c_807,c_1638]) ).
tcf(c_1655,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,inverse(X2))) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_75,c_1638]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,inverse(X2))) = multiply(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_1053,c_751]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),X2)) = multiply(X1,divide(X0,inverse(X2))),
inference(superposition,[status(thm)],[c_568,c_1642]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,inverse(X2))) = multiply(multiply(X0,X2),X1),
inference(light_normalisation,[status(thm)],[c_1895,c_985]) ).
tcf(c_1915,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(light_normalisation,[status(thm)],[c_1914,c_1850]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_635,c_1915]) ).
tcf(c_2278,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1915,c_635]) ).
tcf(c_2288,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
inference(demodulation,[status(thm)],[c_655,c_2278]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_1655,c_1850,c_2264]) ).
tcf(c_2511,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_2288,c_2510]) ).
tcf(c_2512,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Wed Sep 23 13:33:14 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 3.17/6.11 % SZS status Started for theBenchmark.p
% 3.17/6.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/6.11
% 3.17/6.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.17/6.11
% 3.17/6.11 % ------ iProver source info
% 3.17/6.11
% 3.17/6.11 % git: date: 2026-07-19 20:42:38 +0200
% 3.17/6.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.17/6.11 % git: non_committed_changes: false
% 3.17/6.11
% 3.17/6.11 % ------ Parsing...% successful
% 3.17/6.11
% 3.17/6.11
% 3.17/6.11 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.17/6.11
% 3.17/6.11 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.17/6.11
% 3.17/6.11 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.17/6.11
% 3.17/6.11 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.17/6.11 % ------ Proving...
% 3.17/6.11 % ------ Problem Properties
% 3.17/6.11
% 3.17/6.11 %
% 3.17/6.11 % clauses 4
% 3.17/6.11 % conjectures 1
% 3.17/6.11 % EPR 0
% 3.17/6.11 % Horn 4
% 3.17/6.11 % unary 3
% 3.17/6.11 % binary 0
% 3.17/6.11 % lits 7
% 3.17/6.11 % lits eq 7
% 3.17/6.11 % fd_pure 0
% 3.17/6.11 % fd_pseudo 0
% 3.17/6.11 % fd_cond 0
% 3.17/6.11 % fd_pseudo_cond 0
% 3.17/6.11 % AC symbols 0
% 3.17/6.11
% 3.17/6.11 % ------ Schedule dynamic 5 is on
% 3.17/6.11
% 3.17/6.11 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.17/6.11
% 3.17/6.11
% 3.17/6.11 % ------
% 3.17/6.11 % Current options:
% 3.17/6.11 % ------
% 3.17/6.11
% 3.17/6.11
% 3.17/6.11 %
% 3.17/6.11
% 3.17/6.11 % ------ Proving...
% 3.17/6.11 %
% 3.17/6.11
% 3.17/6.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/6.11
% 3.17/6.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.17/6.11
% 3.17/6.11
%------------------------------------------------------------------------------